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Wireless Communications
, 2005
"... Copyright c ○ 2005 by Cambridge University Press. This material is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University ..."
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Cited by 1129 (32 self)
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Copyright c ○ 2005 by Cambridge University Press. This material is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University
Stochastic Inversion Transduction Grammars and Bilingual Parsing of Parallel Corpora
, 1997
"... ..."
Design and analyze the various msequences codes in
"... Abstract — Pseudo noise sequences (PN) are widely used in telecommunications and for measurement purposes. In this paper, cross correlation results of PN family codes: Gold, Kasami sequences are shown. PN sequences have random like properties that help in reducing the correlation among speech sample ..."
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Cited by 1 (0 self)
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mobile communications in CDMA. A comparison of PN sequence, Gold sequence, Kasami sequence is studied. The SNR Performance of Gold, Kasami & Msequence of sufficiently long periods are close to that of the purely random and independent binary sequence of same length.
CROSSCORRELATION OF MSEQUENCES  Some Unusual Coincidences
"... Msequences have been studied extensively as the nearest approximation to random sequences. In general, the problem of computing crosscorrelations between msequences by analytical techniques has been declared untractable. In this research, crosscorrelations for all sequences of lengths up to 2 1 ..."
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Msequences have been studied extensively as the nearest approximation to random sequences. In general, the problem of computing crosscorrelations between msequences by analytical techniques has been declared untractable. In this research, crosscorrelations for all sequences of lengths up to 2
Kasami Bent Functions are Not Equivalent to Their Duals
"... Abstract. A difficult task in the theory of bent functions is to determine whether a bent function is equivalent to its dual bent function. In this paper we use certain results on the divisibility of Gauss Sums, mainly Stickelberger’s Theorem, to study monomial bent functions. We find the degree of ..."
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of the dual bent function of the Kasami function, which in general is different from the degree of the Kasami function itself. It follows that the Kasami bent functions are not equivalent to their duals in general. 1.
A Note on the Kasami Power Function
, 2005
"... This work is motivated by the observation that the function F to F defined by x + a for some a # can be used to construct difference sets. A desired condition is, that the function # d (x) := x +(x+1) is a 2 to1 mapping. If s = 1, then the function x has to be APN. If s ..."
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. If s > 1, then there is up to equivalence only one function known: The function # d is a 2 to1 mapping if d is the Gold parameter d = 2 + 1 with gcd(k, m) = s. We show in this paper, that # d is also a 2 to1 mapping if d is the Kasami parameter d = 2 +1 with gcd(k, m) = s and m/s odd
Cyclic Codes and Sequences: the Generalized Kasami Case
 IEEE TRANS ON INFORMATION THEORY
, 2010
"... Let $q=2^n$ with $n=2m$ . Let $1\leq k\leq n1$ and $k\neq m$. In this paper we determine the value distribution of following exponential sums \[\sum\limits_{x\in \bF_q}(1)^{\Tra_1^m (\alpha x^{2^{m}+1})+\Tra_1^n(\beta x^{2^k+1})}\quad(\alpha\in \bF_{2^m},\beta\in \bF_{q})\] and \[\sum\limits_{x\in ..."
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F_q$. (2). We determine the correlation distribution among a family of msequences. This paper is the binary version of Luo, Tang and Wang\cite{Luo Tan} and extends the results in Kasami\cite{Kasa1}, Van der Vlugt\cite{Vand2} and Zeng, Liu and Hu\cite{Zen Liu}.
Binary msequences with threevalued crosscorrelation: A proof of welch conjecture
 IEEE Trans. Inf. Theory
, 2000
"... Abstract—We prove the longstanding conjecture of Welch stating that for odd = 2 + 1, the power function with = 2 +3is maximally nonlinear on GF (2) or, in other terms, that the crosscorrelation function between a binary maximumlength linear shift register sequences of degree and a decimation of th ..."
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Cited by 43 (8 self)
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Abstract—We prove the longstanding conjecture of Welch stating that for odd = 2 + 1, the power function with = 2 +3is maximally nonlinear on GF (2) or, in other terms, that the crosscorrelation function between a binary maximumlength linear shift register sequences of degree and a decimation
The CockeYoungerKasami Algorithm for Cyclic Strings *
"... The chaincode representation of contours is widely used in syntactic shape recognition. However the ignorance of a starting point makes the time complexity of traditional parsers increase in one order. This paper describes a technique for adapting any CockYoungerKasami contextfree parser in ord ..."
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The chaincode representation of contours is widely used in syntactic shape recognition. However the ignorance of a starting point makes the time complexity of traditional parsers increase in one order. This paper describes a technique for adapting any CockYoungerKasami contextfree parser
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